Practice Test Geeks(DSAT) Digital SAT Practice Test
← All DSAT Flashcard Decks

Problem Solving Strategies Flashcards

7 cards from real DSAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Problem Solving Strategies flashcards as text

  1. A problem states: 'If f(x) = 2x² − 3x + 1, what is f(−2)?' What is the correct order of operations?

    Answer: Substitute −2 for x, then compute following PEMDAS

    Function evaluation always means substituting the given input value for x and then simplifying using the order of operations.

  2. On the DSAT Math section, a question shows a scatterplot and asks for the line of best fit. A student should look for:

    Answer: A line that minimizes the overall distance from points to the line

    A line of best fit balances the data points on both sides, minimizing total deviation, even though it may not touch any single point exactly.

  3. To solve 2x² − 8 = 0 most efficiently, which strategy avoids the quadratic formula?

    Answer: Factor out 2 and isolate x²

    Factor out 2 to get 2(x² − 4) = 0, then x² = 4, giving x = ±2 in two quick steps.

  4. A word problem involves consecutive integers whose sum is 78. Which equation correctly models this?

    Answer: x + (x + 1) = 78

    Consecutive integers differ by 1, so representing them as x and x + 1 and setting their sum equal to 78 is the correct model.

  5. A DSAT problem gives angle measures in a triangle as x°, 2x°, and (x + 30)°. What property allows you to write an equation?

    Answer: The sum of all three interior angles of a triangle is 180°

    The Triangle Angle Sum Theorem states all three interior angles add to 180°, giving x + 2x + (x + 30) = 180.

  6. When a problem has a long, complicated setup but a simple numerical answer choice list, which strategy can save time?

    Answer: Work backward from each answer choice to see which satisfies the problem

    Back-solving (plugging answer choices into the problem) is efficient when the answer list is simple numbers and algebra would be complex.

  7. A student must find the area of a shaded region created by subtracting a smaller shape from a larger one. What is the correct strategy?

    Answer: Calculate the large shape's area minus the small shape's area

    Shaded area = total area − unshaded area, so compute both shapes' areas separately and subtract the smaller from the larger.